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Finding the Fourth Proportional to 13,713.80, 20,569.98 and 7,478.60

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Solution

The fourth proportional to 13,713.80, 20,569.98 and 7,478.60 is: 11,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.80 : 20,569.98 = 7,478.60 : x
  2. Step 2: Convert to fraction form
    13,713.80/20,569.98 = 7,478.60/x
  3. Step 3: Cross multiply
    13,713.80x = 20,569.98 × 7,478.60
  4. Step 4: Simplify right side
    13,713.80x = 153,834,652.43
  5. Step 5: Solve for x
    x = 153,834,652.43/13,713.80
  6. Step 6: Final answer
    x = 11,217.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.